What steps would you do to solve n/7 + 3 ≥ -4?

Question

Multiply by seven, then subtract three.
Add three, then multiply by seven.
Subtract three, then multiply by seven.
Subtract three, then divide by seven.

Answer 1

To solve the inequality $\frac{n}{7}+3\ge -4$, follow these steps:

1. Subtract 3 from both sides to isolate the term with $n$: $$\frac{n}{7}\ge -4-3$$ $$\frac{n}{7}\ge -7$$

2. Multiply both sides by 7 to eliminate the fraction. Since 7 is a positive number, the inequality direction remains the same: $$n\ge -7\times 7$$ $$n\ge -49$$

So, the correct steps are to subtract 3, then multiply by 7. Therefore, the answer is:

Subtract three, then multiply by seven.